Mathematical things I have toyed with.
Last Up date:
2017 April 15 on nuMacMini: work/gd/lafarr/math
Moved to nuMacMini from iMac
Started on: Sat 2004-03-20
Page redone: 2011 January 14
There are many definitions of Mathematics. For many it is about
arithmetic. For me, it is about getting correct answers with as little
arithmetic as possible. Yes, it starts with counting and
goes on from there.
We count in a number system created by the convenience of using our
fingers on both hands. But, because ten is not dividable by three there
are many examples where, for convenience, we do not use base ten. Most
notable examples are: Time, and Angles where the basic
unit: a full circle of the planet we live on is broken up into a
number of pieces that is divisible by three. Other examples are: the
dozen, feet & inches, and keys in a music octave.
It is unfortunate that God did not give us another thumb on each
hand, mathematically six is a much better number than five, then we
would have had twelve fingers, and counted base twelve instead of ten.
He did wise-up and gave insects 6 legs! (A 5 legged criter would be
for more on this fantasy of changing the number system we use to be base
twelve. I agree it would have many advantages, but when we can't in the
USA get people to change to Metric; think how difficult it would be to
change the base of the number system. We can't even change the stupid
way many words are spelled in English. Tradition is a curse on
|Things I have written about:
Some of the pages are old, and some links may not
Random Number Generation
program useing it.
x2 + y2 = z2
A more complete list
in 100 "best" fractions.
- My description of calculating the number of
possible BINGO Cards.
- I have updated an old prime number generation program, to use my
I was interested in the number of prime twins
occurred in a large table of prime numbers.
- If you just want every 50,000th prime from 611,957 up to 302,569,483
I have them here.
Following are links to earlier pages I thought might be interesting.
They are in the order I generated them:
- Description of DOS programs I have written (Command line Executable
under Windows) to do
things you might find interesting or useful.
- My explanation of the
and Continued Fractions.
- Description of the
Lehmer Chain machine
displayed at the Computer History Museum.
- My attempts at making a working
- My notes for a talk about
Unfortunately, too much is left out to make it understandable without my
live explanations and examples.
Here are some links I think are interesting.
mathematische-basteleien.de has great graphics and explanations for
a lot of different subjects. I think the fellow is German, because he
has much of his pages in German & English.
numbers.computation.free.fr/Constants/ lots of intersting links,
including one on FFT based multiplication of large numbers.
Click the phone block to call or get link to my BIO page.